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Finding the Fourth Proportional to 346,680, 520,002.99 and 133,549.56

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Solution

The fourth proportional to 346,680, 520,002.99 and 133,549.56 is: 200,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,680 : 520,002.99 = 133,549.56 : x
  2. Step 2: Convert to fraction form
    346,680/520,002.99 = 133,549.56/x
  3. Step 3: Cross multiply
    346,680x = 520,002.99 × 133,549.56
  4. Step 4: Simplify right side
    346,680x = 69,446,170,513.18
  5. Step 5: Solve for x
    x = 69,446,170,513.18/346,680
  6. Step 6: Final answer
    x = 200,317.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.